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Finding the Fourth Proportional to 1,609.94, 2,410.80 and 1,335.22

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Solution

The fourth proportional to 1,609.94, 2,410.80 and 1,335.22 is: 1,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.94 : 2,410.80 = 1,335.22 : x
  2. Step 2: Convert to fraction form
    1,609.94/2,410.80 = 1,335.22/x
  3. Step 3: Cross multiply
    1,609.94x = 2,410.80 × 1,335.22
  4. Step 4: Simplify right side
    1,609.94x = 3,218,948.38
  5. Step 5: Solve for x
    x = 3,218,948.38/1,609.94
  6. Step 6: Final answer
    x = 1,999.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.